Home / 1,023.21-1,412.01-557.46

Finding the Fourth Proportional to 1,023.21, 1,412.01 and 557.46

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Solution

The fourth proportional to 1,023.21, 1,412.01 and 557.46 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.21 : 1,412.01 = 557.46 : x
  2. Step 2: Convert to fraction form
    1,023.21/1,412.01 = 557.46/x
  3. Step 3: Cross multiply
    1,023.21x = 1,412.01 × 557.46
  4. Step 4: Simplify right side
    1,023.21x = 787,139.09
  5. Step 5: Solve for x
    x = 787,139.09/1,023.21
  6. Step 6: Final answer
    x = 769.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.